Existence of time periodic solutions for a damped generalized coupled nonlinear wave equations
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The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied. By using the Galerkin method to construct the approximating sequence of time periodic solutions, a priori estimate and Laray-Schauder fixed point theorem to prove the convergence of the approximate solutions, the existence of time periodic solutions for a damped generalized coupled nonlinear wave equations can be obtained.
Key wordsnonlinear wave equations priori estimate time periodic solution
Chinese Library ClassificationO175.25 O175.29
2000 MR Subject Classification35B10
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